Introduction to Vassiliev knot invariants

Abstract

1. Knots and their relatives 2. Knot invariants 3. Finite type invariants 4. Chord diagrams 5. Jacobi diagrams 6. Lie algebra weight systems 7. Algebra of 3-graphs 8. The Kontsevich integral 9. Framed knots and cabling operations 10. The Drinfeld associator 11. The Kontsevich integral: advanced features 12. Braids and string links 13. Gauss diagrams 14. Miscellany 15. The space of all knots Appendix References Notations Index.